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001450280 019__ $$a1346530604$$a1347023038
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001450280 0247_ $$a10.1007/978-3-031-04496-0$$2doi
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001450280 08204 $$a620.110151$$223/eng/20221013
001450280 24500 $$aResearch in mathematics of materials science /$$cMalena I. Español, Marta Lewicka, Lucia Scardia, Anja Schlömerkemper, editors.
001450280 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001450280 300__ $$a1 online resource :$$billustrations (black and white, and color).
001450280 336__ $$atext$$btxt$$2rdacontent
001450280 337__ $$acomputer$$bc$$2rdamedia
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001450280 4901_ $$aAssociation for Women in Mathematics series ;$$vvolume 31
001450280 504__ $$aReferences -- On Static and Evolutionary Homogenization in Crystal Plasticity for Stratified Composites -- 1 Introduction -- 1.1 Notation -- 2 Minimizers of the Static Homogenized Limit Problem -- 3 Homogenization via Evolutionary -Convergence -- 3.1 The Case s=e2 -- 3.2 The Case s=e1 -- References -- On the Prescription of Boundary Conditions for Nonlocal Poisson's and Peridynamics Models -- 1 Introduction and Motivation -- 2 Preliminaries -- 2.1 The Nonlocal Poisson's Problem -- 2.2 The Linear Peridynamic Solid Model -- 3 Proposed Strategies -- 3.1 Dirichlet-to-Dirichlet Strategy
001450280 5050_ $$aPart I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri) -- Grain growth and the effect of different time scales (Epshteyn) -- Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman) -- On some models in radiation hydrodynamic Poro-visco-elasticity in biomechanics - optimal control (L. Bociu) -- Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension (Y. Gorb) -- On static and evolutionary homogenization in crystal plasticity for stratified composites (E. Davoli) -- On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models (D'Elia) -- Existence of global solutions for 2D fluid-elastic interaction with small data (M. Luckas) -- Doubly nonlocal Cahn-Hillard equations. Wellposedness and asymptotic behavior (P. Radu) -- 3D image based stochastic micro-structure modelling of foams for simulating elasticity (K. Schladitz) -- Machine learning for failure analysis: a mathematical modelling perspective (Perez-Velazquez) -- Invertibility of Orlicz-Sobolev maps (B. Stroffolini) -- Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain limiting theory (Y. Sengul) -- Generic for dissipative solids with bulk-interface interaction (M. Thomas) -- PART II: Review Papers - Phase separation in heterogeneous media (R. Venkataraman) -- Some recent results on 2d crystallization for sticky disc models and generalizations for systems of oriented particles (De Luca) -- Pattern formation for nematic liquid crystals-modelling, analysis, and applications (A. Majumdar) -- On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules (Yvonne Ou) -- On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory (Yvonne Ou) -- Rigidity and flexibility in the modelling of shape-memory alloys (A. Ruland).
001450280 506__ $$aAccess limited to authorized users.
001450280 520__ $$aThis volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.
001450280 588__ $$aDescription based on print version record.
001450280 650_0 $$aMaterials science$$xMathematics$$xResearch.
001450280 650_0 $$aWomen in mathematics.
001450280 655_0 $$aElectronic books.
001450280 655_7 $$aLlibres electrònics.$$2thub
001450280 7001_ $$aEspañol, Malena I.$$eeditor.
001450280 7001_ $$aLewicka, Marta,$$eeditor.
001450280 7001_ $$aScardia, Lucia,$$eeditor.
001450280 7001_ $$aSchlömerkemper, Anja,$$eeditor.
001450280 77608 $$iPrint version:$$tRESEARCH IN MATHEMATICS OF MATERIALS SCIENCE.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2022$$z3031044959$$w(OCoLC)1305915974
001450280 830_0 $$aAssociation for Women in Mathematics Series ;$$vv. 31.
001450280 852__ $$bebk
001450280 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-04496-0$$zOnline Access$$91397441.1
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